Answer
{$-1$}
Work Step by Step
Step 1: $2[x-(4+2x)+3]=2x+2$
Step 2: $2[x-4-2x+3]=2x+2$
Step 3: $2[-x-1]=2x+2$
Step 4: $-2x-2=2x+2$
Step 5: Subtracting $2x$ from both sides, $-2x-2x-2=2x+2-2x$
Step 6: $-4x-2=2$
Step 7: Adding $2$ to both sides, $-4x-2+2=2+2$
Step 8: $-4x=4$
Step 9: Dividing both sides by $-4$,
$\frac{-4x}{-4}=\frac{4}{-4}$
Step 10: $x=-1$
Check:
Substituting the answer in the initial equation:
$2[-1-(4+2(-1))+3]=2(-1)+2$
$2[-1-(4-2)+3]=-2+2$
$2[-1-(2)+3]=0$
$2[0]=0$
$0=0$
Since the answer checks, the solution set of the equation is {$-1$}.
